Factors and Zeros of Polynomial Graph

If x-2 is a factor of x^2+5x+7, then that means.....

• f(0) = 2

• f(0) = -2

• f(2) = 0

• f(-2) = 0

If a+bi is a root of a polynomial, then _______ is also a root.

• i²

• a-bi

• a+bi

• -i²

Write the polynomial with the given zeros

• A

• B

• C

• D

What are the zeros of the polynomial function?

• -2, 7 multiplicity 3

• -2, 7, 3

• 2, -7 multiplicity 3

• 2, -7, 3

Odd Multiplicities have which of the following effects on the x-axis?

• Cross the x-axis

• Tangent to the x-axis

Even Multiplicities have which of the following effects on the x-axis?

• touches and bounces back

• wiggle

• crosses the x-axis

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11

• P(x) = x³-2x²+9x+18

• P(x) = x³+2x²+9x+18

• P(x) = x²-3ix+2x-6i

If the zeros of f(x) = 5, 10, -13, then the factors of f(x) are:

• (x + 5)(x + 10)(x - 13)

• (x - 5)(x - 10)(x + 13)

• (x + 5)(x - 10)(x + 13)

• (x - 5)(x - 10)(x - 13)